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Finding the Third Proportional to 800,482.50 and 1,733,825.25

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Solution

The third proportional to 800,482.50 and 1,733,825.25 is: 3,755,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,482.50 : 1,733,825.25 = 1,733,825.25 : x
  2. Step 2: Convert to fraction form
    800,482.50/1,733,825.25 = 1,733,825.25/x
  3. Step 3: Cross multiply
    800,482.50x = 1,733,825.25 × 1,733,825.25
  4. Step 4: Simplify right side
    800,482.50x = 3,006,149,997,537.56
  5. Step 5: Solve for x
    x = 3,006,149,997,537.56/800,482.50
  6. Step 6: Final answer
    x = 3,755,422.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.